Use Integration to Find a General Solution of the Differential $$\frac { d y } { d x } = x \sqrt { x - 15 }$$

question 7

Multiple Choice

Use integration to find a general solution of the differential equation . $$\frac { d y } { d x } = x \sqrt { x - 15 }$$

• A) \(y = 2 ( x - 15 ) ^ { 2 } ( 30 - x ) + C\)
• B) \(y = \frac { 2 } { 5 } ( x - 15 ) ^ { 3 } ( 5 + x ) + C\)
• C) \(y = \frac { 1 } { 5 } ( x - 15 ) ^ { 2 / 3 } ( 10 - x ) + C\)
• D) \(y = ( x - 15 ) ^ { 3 / 2 } ( 15 + x ) + C\)
• E) \(y = \frac { 2 } { 5 } ( x - 15 ) ^ { 3 / 2 } ( 10 + x ) + C\)

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